Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1390/852,4535/9739
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 1390,4535
Greatest Common Factor of Numerators i.e. GCF of 1390,4535 is 5 .
LCM of Denominators means LCM of 852,9739 as per the given fractions.
LCM of 852,9739 is 8297628 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1390,4535
5 | 1390, 4535 |
278, 907 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 1390
List of positive integer factors of 1390 that divides 1390 without a remainder.
1,2,5,10,139,278,695,1390
Factors of 4535
List of positive integer factors of 4535 that divides 4535 without a remainder.
1,5,907,4535
Greatest Common Factor
We found the factors 1390,4535 . The biggest common factor number is the GCF number.
So the greatest common factor 1390,4535 is 5.
Lets's calculate LCM of 852,9739
Given numbers has no common factors except 1. So, there LCM is their product i.e 8297628
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/8297628
Therefore, the GCF of Fractions 1390/852,4535/9739 is 5/8297628
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 852,9739 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(852,9739) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(852,9739) x common factors =1 x 1 = 1
LCM(852,9739) = ( 852 × 9739 ) / 1
LCM(852,9739) = 8297628 / 1
LCM(852,9739) = 8297628
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 1390/852, 4535/9739?
Answer: GCF of Numerators as per given numbers 1390/852, 4535/9739 is
GCF of Numerators i.e. for 1390,4535 is 5
LCM of denominators i.e. for 852,9739 is 8297628.
Thus, GCF of Fractions is 5/8297628.Finally, GCF of Fractions for 1390/852, 4535/9739 is 5/8297628.